Online GCD Calculator is useful to find the GCD of 922, 208, 107, 378 quickly. Get the easiest ways to solve the greatest common divisor of 922, 208, 107, 378 i.e 1 in different methods as follows.
Given Input numbers are 922, 208, 107, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 922 :
The positive integer divisors of 922 that completely divides 922 are.
1, 2, 461, 922
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (922, 208, 107, 378) = 1.
Given numbers are 922, 208, 107, 378
The list of prime factors of all numbers are
Prime factors of 922 are 2 x 461
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 107 are 107
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 922, 208, 107, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(922, 208) = 95888
GCD(922, 208) = ( 922 x 208 ) / 95888
= 922 / 208
= 922
Step2:
LCM(2, 107) = 214
GCD(2, 107) = ( 2 x 107 ) / 214
= 2 / 107
= 2
Step3:
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
= 1 / 378
= 1
So, Greatest Common Divisor of 922, 208, 107, 378 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 922, 208, 107, 378
The greatest common divisor of numbers 922, 208, 107, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 922, 208, 107, 378 is 1.
1. What is the GCD of 922, 208, 107, 378?
GCD of given numbers 922, 208, 107, 378 is 1
2. How to calculate the greatest common divisor of 922, 208, 107, 378?
We can find the highest common divisor of 922, 208, 107, 378 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 922, 208, 107, 378 i.e 1.
3. How can I use the GCD of 922, 208, 107, 378Calculator?
Out the numbers 922, 208, 107, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.